X Company is considering buying a part next year that they
currently make. This year's production costs for 3,200 units were
as follows:
Per-Unit | Total | ||
Direct materials | $2.61 | $8,352 | |
Direct labor | 3.88 | 12,416 | |
Variable overhead | 4.20 | 13,440 | |
Fixed overhead | 5.10 | 16,320 | |
Total | $15.79 | $50,528 |
A company has offered to supply this part to X Company for $14.14
per unit. If X Company accepts the offer, it will still incur fixed
costs of $7,997, but it will be able to lease the resources that
will become available from not making the part for $3,000. At what
production level would X Company be indifferent between making and
buying the part next year?
Per unit | Total 3200 units | |||
Make | Buy | Make | Buy | |
Direct materials | 2.61 | 8352 | ||
Direct labor | 3.88 | 12416 | ||
Variable overhead | 4.20 | 13440 | ||
Avoidable fixed overhead | 8323 | |||
Opportunity cost | 3000 | |||
Outside Purchase cost | 14.14 | 45248 | ||
Total cost | 10.69 | 14.14 | 45531 | 45248 |
Difference in cost = 45531-45248 = 283 | ||||
Increase in production level = 283/(14.14-10.69)= 82 | ||||
Indifferent production level = 3200+82 = 3282 | ||||
3282 is correct answer |
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